Religions are the myths of our cultures. They can be very useful for giving broad guidelines to ways of living harmoniously and being productive to that respective culture. Or when the mythology of the religion is followed too literally and dogmatically it can cause a lot of friction, hate, and separatism, i.e.religious segregation.

In particularly religious households the myth is pressed upon the youth to be swallowed wholesale. No thought, no questioning. No asking if that is reasonable or fair.

There is a lot that is good in religion but there is also a lot of separatism, causing hate and fear of others,  too. A lot of it depends upon certain groups interpretation, of the existing holy books of that religion.

The highest and most pure part of the religions seems to overlap and be of the same essence in every culture. The love part. And especially if that love part includes all of humanity, Male, and Female, and all races, and all plants and animals. Any religion that has that is a good mythology and is beneficial to all.

But going down the list, Religions come with more and more rules and regulations.
It seems to be the downfall part of religions. Then at some points in history you have mass genocides. All in the name of religion.

The science is a way of thinking, observing and investigating our physical world around us. And as you said  "engineering".. So engineering using established facts,  or using theory to imagine possibilities beyond our present established facts. How things might work.

We can dream about anything and then figure out how to make it. That's science.